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3B · Chapter 11 · consolidation

Practice

Original cumulative chapter practice to consolidate taught ideas.

Original cumulative chapter practice to consolidate taught ideas. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 18 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

  1. A1

    Express 520 cm as m and cm.

    Reveal explanation

    Answer: 5 m 20 cm

    Partition 520 into 5 full groups of 100 plus 20.

    1 m100 cm each=100 cm
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  2. A2

    Subtract 57 cm from 7 m 50 cm. Give mixed units.

    Reveal explanation

    Answer: 6 m 93 cm

    Exchange one m for 100 cm, then subtract: 750 − 57 = 693 cm. Regroup the result into m and cm.

    1 m100 cm each=100 cm
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  3. A3

    Express 2,020 m as km and m.

    Reveal explanation

    Answer: 2 km 20 m

    Partition 2,020 into 2 full groups of 1,000 plus 20.

    1 km1000 m each=1,000 m
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  4. A4

    Subtract 394 m from 4 km 40 m. Give mixed units.

    Reveal explanation

    Answer: 3 km 646 m

    Exchange one km for 1000 m, then subtract: 4040 − 394 = 3646 m. Regroup the result into km and m.

    1 km1000 m each=1,000 m
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  5. A5

    Express 4,065 mL as L and mL.

    Reveal explanation

    Answer: 4 L 65 mL

    Partition 4,065 into 4 full groups of 1,000 plus 65.

    1 L1000 mL each=1,000 mL
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  6. A6

    Express 5,020 g as kg and g.

    Reveal explanation

    Answer: 5 kg 20 g

    Partition 5,020 into 5 full groups of 1,000 plus 20.

    1 kg1000 g each=1,000 g
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  7. A7

    A route is 4 km 875 m long. A walker finishes 174 m of the route. How far remains? Express in km and m.

    Reveal explanation

    Answer: 4 km 701 m

    The route is 4875 m. Subtract 174 m to get 4701 m; regroup into kilometers and meters.

    1 km1000 m each=1,000 m
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  8. A8

    Convert 8 m 75 cm into cm.

    Reveal explanation

    Answer: 875 cm

    8 m = 800 cm; add 75 to make 875 cm.

    1 m100 cm each=100 cm
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  9. A9

    Subtract 99 cm from 6 m 50 cm. Give mixed units.

    Reveal explanation

    Answer: 5 m 51 cm

    Exchange one m for 100 cm, then subtract: 650 − 99 = 551 cm. Regroup the result into m and cm.

    1 m100 cm each=100 cm
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  10. A10

    Convert 6 km 125 m into m.

    Reveal explanation

    Answer: 6,125 m

    6 km = 6,000 m; add 125 to make 6,125 m.

    1 km1000 m each=1,000 m
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  11. A11

    Subtract 822 m from 5 km 375 m. Give mixed units.

    Reveal explanation

    Answer: 4 km 553 m

    Exchange one km for 1000 m, then subtract: 5375 − 822 = 4553 m. Regroup the result into km and m.

    1 km1000 m each=1,000 m
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  12. A12

    Convert 4 L 20 mL into mL.

    Reveal explanation

    Answer: 4,020 mL

    4 L = 4,000 mL; add 20 to make 4,020 mL.

    1 L1000 mL each=1,000 mL
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  13. A13

    Convert 8 kg 250 g into g.

    Reveal explanation

    Answer: 8,250 g

    8 kg = 8,000 g; add 250 to make 8,250 g.

    1 kg1000 g each=1,000 g
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  14. A14

    A route is 5 km 375 m long. A walker finishes 2413 m of the route. How far remains? Express in km and m.

    Reveal explanation

    Answer: 2 km 962 m

    The route is 5375 m. Subtract 2413 m to get 2962 m; regroup into kilometers and meters.

    1 km1000 m each=1,000 m
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  15. A15

    Express 765 cm as m and cm.

    Reveal explanation

    Answer: 7 m 65 cm

    Partition 765 into 7 full groups of 100 plus 65.

    1 m100 cm each=100 cm
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  16. A16

    Subtract 96 cm from 3 m 65 cm. Give mixed units.

    Reveal explanation

    Answer: 2 m 69 cm

    Exchange one m for 100 cm, then subtract: 365 − 96 = 269 cm. Regroup the result into m and cm.

    1 m100 cm each=100 cm
    One larger unit is exchanged into an equal number of smaller units without changing the quantity.
  17. A17

    Explain how to subtract 70 cm from 7 m 20 cm without writing a negative number of centimeters.

    Reveal explanation

    Answer: 6 m 50 cm

    Exchange 1 m for 100 cm: 6 m 120 cm − 70 cm = 6 m 50 cm.

  18. A18

    A student claims 6 m 60 cm means 660 m. What unit should the total use?

    Reveal explanation

    Answer: 660 cm

    There are 100 centimeters in one meter, so 6 m 60 cm equals 660 cm, not meters.

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